1005141055153 has 2 divisors, whose sum is σ = 1005141055154. Its totient is φ = 1005141055152.

The previous prime is 1005141055133. The next prime is 1005141055249. The reversal of 1005141055153 is 3515501415001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 872639959104 + 132501096049 = 934152^2 + 364007^2 .

It is an emirp because it is prime and its reverse (3515501415001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005141055153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005141055133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502570527576 + 502570527577.

It is an arithmetic number, because the mean of its divisors is an integer number (502570527577).

Almost surely, 2^{1005141055153} is an apocalyptic number.

It is an amenable number.

1005141055153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005141055153 is an equidigital number, since it uses as much as digits as its factorization.

1005141055153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 1005141055153 in words is "one trillion, five billion, one hundred forty-one million, fifty-five thousand, one hundred fifty-three".